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Simplifying 49a2 + 91a + -168 = 0 Reorder the terms: -168 + 91a + 49a2 = 0 Solving -168 + 91a + 49a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '7'. 7(-24 + 13a + 7a2) = 0 Factor a trinomial. 7((-3 + -1a)(8 + -7a)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-3 + -1a)' equal to zero and attempt to solve: Simplifying -3 + -1a = 0 Solving -3 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1a = 0 + 3 -1a = 0 + 3 Combine like terms: 0 + 3 = 3 -1a = 3 Divide each side by '-1'. a = -3 Simplifying a = -3Subproblem 2
Set the factor '(8 + -7a)' equal to zero and attempt to solve: Simplifying 8 + -7a = 0 Solving 8 + -7a = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7a = 0 + -8 -7a = 0 + -8 Combine like terms: 0 + -8 = -8 -7a = -8 Divide each side by '-7'. a = 1.142857143 Simplifying a = 1.142857143Solution
a = {-3, 1.142857143}
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